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Finding the Fourth Proportional to 9,166, 12,648.94 and 5,389.60

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Solution

The fourth proportional to 9,166, 12,648.94 and 5,389.60 is: 7,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166 : 12,648.94 = 5,389.60 : x
  2. Step 2: Convert to fraction form
    9,166/12,648.94 = 5,389.60/x
  3. Step 3: Cross multiply
    9,166x = 12,648.94 × 5,389.60
  4. Step 4: Simplify right side
    9,166x = 68,172,727.02
  5. Step 5: Solve for x
    x = 68,172,727.02/9,166
  6. Step 6: Final answer
    x = 7,437.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.